Year: 1970
Type: article
Abstract: In this paper we consider dynamical systems resulting from the motion of a material point in domains with strictly convex boundary, that is, such that the operator of the second quadratic form is negative-definite at each point of the boundary, where the boundary is taken to be equipped with the field of inward normals. We prove that such systems are ergodic and are K -systems. The basic method of investigation is the construction of transversal foliations for such systems and the study of their properties.
Source: Russian Mathematical Surveys
Author: Yakov G Sinai
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: bronze
OpenAlex ID: W2095165504